Ueber mathematische Modelle zu Zweiphasen-Stroemungen.
Monday, 4.11.13, 14:00-15:00, Raum 414, Eckerstr. 1
Conformally flat cylinders without conjugate points
Monday, 4.11.13, 16:15-17:15, Raum 404, Eckerstr. 1
For surfaces without conjugate points, Eberhard Hopf's method leads to optimal rigidity results. The question arises of whether (a generalization of) the method is equally powerful in higher dimensions. We will investigate the case of conformally flat cylinders.
A generalization of Gromov's almost flat manifold theorem
Tuesday, 5.11.13, 16:00-17:00, Raum 404, Eckerstr. 1
Almost flat manifolds are the solutions of bounded size perturbations of the equation Sec = 0 (Sec is the sectional curvature). In a celebrated theorem, Gromov proved that the presence of an almost flat metric implies a precise topological description of the underlying manifold.\n\nDuring this talk we will explain how, under lower sectional curvature bounds, to impose an L1-pinching condition on the curvature is surprisingly rigid, leading indeed to the same conclusion as in Gromov's theorem under more relaxed curvature conditions (in particular, so weak that we are not allowed to use Ricci flow in the proof). We will describe which alternative techniques lead us to a successful proof, ans this will be sketched in detail. This is a joint work with B. Wilking.\n
Thursday, 7.11.13, 17:00-18:00, Hörsaal II, Albertstr. 23b
Fibered Derivators, (Co)homological Descent and the Six-Functor Formalism
Friday, 8.11.13, 10:15-11:15, Raum 404, Eckerstr. 1
Derivators have been introduced by Grothendieck, as one of his last mathematical contributions, to simplify, extend, and conceptually clarify the\nnotions of derived and triangulated categories. Extended to the context of fibered (multi-)categories (e.g. any kind of sheaves of abelian groups on spaces, schemes, stacks etc.)\nthe notion allows for a neat solution to problems of cohomological descent as well as homological descent. This gives an elegant way\nof extending the six-functor formalism of Grothendieck (which encodes, among other things, dualities like e.g. Serre duality, Poincar'e-Verdier duality)\nto stacks.
Trapped Reeb orbits do not imply periodic ones
Monday, 11.11.13, 16:15-17:15, Raum 404, Eckerstr. 1
Minimal hypersurfaces in manifolds with nonnegative Ricci curvature
Tuesday, 12.11.13, 16:00-17:00, Raum 404, Eckerstr. 1
In this talk, I would like to discuss minimal hypersurfaces in complete manifolds with nonnegative Ricci curvature and Euclidean volume growth. The existence of area minimizing hypersurfaces is strongly influenced by Ricci curvature of ambient manifolds, where our model spaces are the Euclidean cones over spheres of radius less than 1. Moreover, I would like to study minimal graphs in product manifolds, and talk about gradient estimates and Liouville type theorems for minimal graphic functions.\n\n
tba
Wednesday, 13.11.13, 16:00-17:00, Raum 404, Eckerstr. 1
Bayesian change-point problems in multidimensional diffusion models
Thursday, 14.11.13, 11:30-12:30, Raum 232, Eckerstr. 1
Thursday, 14.11.13, 17:00-18:00, Hörsaal II, Albertstr. 23b
Nichthomogene affine Flächen mit riesiger Automorphismengruppe
Friday, 15.11.13, 10:15-11:15, Raum 404, Eckerstr. 1
Developments in Medical Statistics 1963-2013
Friday, 15.11.13, 13:00-14:00, Otto - Krayer - Haus, Albertstr. 25
Berkovich Spaces
Monday, 18.11.13, 10:15-11:15, Raum 119, Eckerstr. 1
Euler Structures on Fibre Bundles
Monday, 18.11.13, 16:15-17:15, Raum 404, Eckerstr. 1
Berkovich Spaces II
Tuesday, 19.11.13, 10:15-11:15, SR 414
Definable valuation rings
Tuesday, 19.11.13, 16:15-17:15, Hörsaal II, Albertstr. 23b
Thursday, 21.11.13, 17:00-18:00, Hörsaal II, Albertstr. 23b
A diagram algebra for categorifying gl(1|1)
Friday, 22.11.13, 10:15-11:15, Raum 404, Eckerstr. 1
Cones over metric measure spaces and the maximal diameter theorem
Monday, 25.11.13, 16:15-17:15, Raum 404, Eckerstr. 1
We briefly describe the definition of curvature-dimension bounds in the sense of Lott-Villani/Sturm (CD(K,N)) and recent results about Riemannian differential calculus for metric measure spaces. Then we present the following theorem: the cone over a metric measure space satisfies CD(KN,N-1) if and only if the underlying space satisfies CD(N-1,N). As consequence of this result and the Cheeger-Gigli-Gromoll splitting theorem we obtain a maximal diameter theorem in the context of metric measure spaces.
Berkovich Spaces III
Tuesday, 26.11.13, 10:15-11:15, SR 414
Non omega-categorical structures with fintely many reducts
Wednesday, 27.11.13, 16:30-17:30, Raum 404, Eckerstr. 1
Non omega-categorical structures with finitely many reducts
Wednesday, 27.11.13, 16:30-17:30, Raum 404, Eckerstr. 1
Berkovich Spaces IV
Thursday, 28.11.13, 10:15-11:15, SR 414
Higher Lie groupoids
Thursday, 28.11.13, 17:00-18:00, Hörsaal II, Albertstr. 23b
Lie groupoids are a fundamental part of the language of\ndifferential geometry: they bring both differentiable actions of Lie groups\nand foliations under a single roof. In complex geometry, they underly the\nwork of Kuranishi and others on moduli of holomorphic vector bundles. In\nthis talk, I will report on recent work (joint with Kai Behrend)\ngeneralizing the theory of Lie groupoids to higher groupoids - where the\nsymmetries have symmetries of their own, and so on. We will show how this\nyields a language for extending Kuranishi's ideas to the setting of\ncomplexes of holomorphic bundles (or better, of twisted complexes).\n
Friday, 29.11.13, 10:15-11:15, Raum 404, Eckerstr. 1
The geometry of singularities in the Minimal Model Program and applications to singular spaces with trivial canonical class
Friday, 29.11.13, 10:15-11:15, Raum 404, Eckerstr. 1
This talk surveys recent results on the singularities of\nthe Minimal Model Program and discusses applications to the study of\nvarieties with trivial canonical class. Comparing the étale fundamental\ngroup of a klt variety with that of its smooth locus, we show that any\nflat holomorphic bundle, defined on the smooth part of a projective\nklt variety is algebraic and extends across the singularities. This\nallows to generalise a famous theorem of Yau, which states that any\nRicci-flat Kähler manifold with vanishing second Chern class is an\nétale quotient of a torus.\n\nThis is joint work with Daniel Greb and Thomas Peternell\n
Chern-Weil theory for quasi-isomorphisms
Friday, 29.11.13, 14:15-15:15, Raum 404, Eckerstr. 1